Finite Group Databasebeta

← Group #348069

Character table — Group #348069

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222222224444444444444444444444448888888888888888816161616323232323232
order12224444448888222444444444888888888888244444448888888888888448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-11111-1-111-1-1
χ4111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-111-1-111
χ5111111111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111
χ6111111111111111-1-1-1-11111111-1-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1
χ7111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111111111-1-1-1-1
χ8111111111111111-1-1-1-111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111
χ91111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ101111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ111111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1111111-1-1-111-1-11
χ121111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-11111-1-1111-1-111-1
χ131111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-11-111-1
χ141111111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1111-11-1-11
χ151111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-11111-1-1-1-111-1-11-1-11-11
χ161111111111-1-1-1-11-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-11111-11111-1-1-1-1-1-111-111-11-1
χ1722222222-2-20000-222-2-2-2-222-2-220000000000002-22-222-2-20000000000000000000
χ1822222222-2-20000-222-2-2-2-2-2-2222000000000000-222-2-2-2220000000000000000000
χ1922222222-2-20000-2-2-222-2-222-2-220000000000002-2-22-2-2220000000000000000000
χ2022222222-2-20000-2-2-222-2-2-2-2222000000000000-22-2222-2-20000000000000000000
χ21222222-2-2222222-200002-22222-2000022-2-22222-2-2000000-2-2-20000000000000000
χ22222222-2-2222222-200002-2-2-2-2-2-2000022-2-2-2-2-2-222000000-2220000000000000000
χ23222222-2-222-2-2-2-2-200002-22222-20000-2-222-2-2-2-2-2-20000002220000000000000000
χ24222222-2-222-2-2-2-2-200002-2-2-2-2-2-20000-2-2222222220000002-2-20000000000000000
χ25222222-2-2-2-2000020000-2222-2-2-22i2i−2i−2i00000000-220000000002i−2i2i2i−2i−2i0000000000
χ26222222-2-2-2-2000020000-2222-2-2-2−2i−2i2i2i00000000-22000000000−2i2i−2i−2i2i2i0000000000
χ27222222-2-2-2-2000020000-22-2-222-22i2i−2i−2i000000002-20000000002i−2i−2i−2i2i2i0000000000
χ28222222-2-2-2-2000020000-22-2-222-2−2i−2i2i2i000000002-2000000000−2i2i2i2i−2i−2i0000000000
χ292222-2-222222222-22222-220000-22222-2-222000000-2-20000-200-2-200000000000000
χ302222-2-222222222-2-2-2-2-2-220000-2-2-2-2-2-2-222000000220000-2002200000000000000
χ312222-2-22222-2-2-2-2-22222-220000-2-2-2-2-222-2-2000000-2-200002002200000000000000
χ322222-2-22222-2-2-2-2-2-2-2-2-2-220000-2222222-2-2000000220000200-2-200000000000000
χ332222-2-222-2-20000222-2-22-20000-2000000002i2i−2i−2i00-22000002i−2i002i−2i2i−2i0000000000
χ342222-2-222-2-20000222-2-22-20000-200000000−2i−2i2i2i00-2200000−2i2i00−2i2i−2i2i0000000000
χ352222-2-222-2-200002-2-2222-20000-2000000002i2i−2i−2i002-2000002i−2i00−2i2i−2i2i0000000000
χ362222-2-222-2-200002-2-2222-20000-200000000−2i−2i2i2i002-200000−2i2i002i−2i2i−2i0000000000
χ372222-2-2-2-222222220000-2-2000020000-2-2-2-2000000002-22-2200002-2-220000000000
χ382222-2-2-2-222222220000-2-2000020000-2-2-2-200000000-22-2220000-222-20000000000
χ392222-2-2-2-222-2-2-2-220000-2-20000200002222000000002-22-2-20000-222-20000000000
χ402222-2-2-2-222-2-2-2-220000-2-2000020000222200000000-22-22-200002-2-220000000000
χ412222-2-2-2-2-2-20000-2000022000022i2i−2i−2i00002i2i−2i−2i00002-2-220−2i2i−2i2i00000000000000
χ422222-2-2-2-2-2-20000-2000022000022i2i−2i−2i0000−2i−2i2i2i0000-222-202i−2i−2i2i00000000000000
χ432222-2-2-2-2-2-20000-200002200002−2i−2i2i2i00002i2i−2i−2i0000-222-20−2i2i2i−2i00000000000000
χ442222-2-2-2-2-2-20000-200002200002−2i−2i2i2i0000−2i−2i2i2i00002-2-2202i−2i2i−2i00000000000000
χ4544-4-400004-444-4-4000000000000000000000000000000000000000002-22-2000000
χ4644-4-400004-444-4-400000000000000000000000000000000000000000-22-22000000
χ4744-4-400004-4-4-444000000000000000000000000000000000000000002-2-22000000
χ4844-4-400004-4-4-44400000000000000000000000000000000000000000-222-2000000
χ494-44-4004-4002i2−2i22i2−2i20004i−4i000000022−2222−22002i2−2i20000000000000000000000000000000
χ504-44-4004-4002i2−2i22i2−2i2000−4i4i0000000−2222−2222002i2−2i20000000000000000000000000000000
χ514-44-4004-400−2i22i2−2i22i20004i−4i0000000−2222−222200−2i22i20000000000000000000000000000000
χ524-44-4004-400−2i22i2−2i22i2000−4i4i000000022−2222−2200−2i22i20000000000000000000000000000000
χ534-44-400-44002i2−2i22i2−2i204-40000000002i2−2i2−2i22i200−2i22i20000000000000000000000000000000
χ544-44-400-44002i2−2i22i2−2i20-44000000000−2i22i22i2−2i200−2i22i20000000000000000000000000000000
χ554-44-400-4400−2i22i2−2i22i204-4000000000−2i22i22i2−2i2002i2−2i20000000000000000000000000000000
χ564-44-400-4400−2i22i2−2i22i20-440000000002i2−2i2−2i22i2002i2−2i20000000000000000000000000000000
χ574-4-444-400002i2−2i2−2i22i20000000004-4000002i2−2i2002i2−2i22i2−2i2000000000000000000000000000
χ584-4-444-400002i2−2i2−2i22i2000000000-44000002i2−2i200−2i22i2−2i22i2000000000000000000000000000
χ594-4-444-40000−2i22i22i2−2i20000000004-400000−2i22i200−2i22i2−2i22i2000000000000000000000000000
χ604-4-444-40000−2i22i22i2−2i2000000000-4400000−2i22i2002i2−2i22i2−2i2000000000000000000000000000
χ614-4-44-4400002i2−2i2−2i22i200000004i−4i0000000−2i22i20022−22−2222000000000000000000000000000
χ624-4-44-4400002i2−2i2−2i22i20000000−4i4i0000000−2i22i200−222222−22000000000000000000000000000
χ634-4-44-440000−2i22i22i2−2i200000004i−4i00000002i2−2i200−222222−22000000000000000000000000000
χ644-4-44-440000−2i22i22i2−2i20000000−4i4i00000002i2−2i20022−22−2222000000000000000000000000000
χ6588-8-80000-880000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).